Probability amplitude description of the dynamics of charged particles in a magnetic field in the macrodomain - art. no. 036608

The set of Schrodinger-like equations obtained earlier by the author [Phys. Rev. Lett. 26, 417 (1971), Phys. Rev. A 31, 3951 (1985)] for the charged p article dynamics in an inhomogeneous magnetic field in the macrodomain, are derived here starting from the quantum-mechanic Schrodinger equation in it s path-integral representation. This derivation enables a generalization of the equations to include a curl-free vector potential in the Schrodinger-l ike equations. In view of the amplitude character of the latter equations, which now descends directly from that of the quantum-mechanic Schrodinger e quation, they now predict the existence in the macrodomain of all such phen omena, which are characteristic of a probability amplitude theory, e.g., th e interference, and the observation of a curl-free vector a la Aharonov-Boh m. A discrete energy structure, predicted as interference maxima and minima has already been observed by the author with his co-workers [Mod. Phys. Le tt. A 8, 167 (1993)]. A prediction is now made for the observability of a c url-free vector potential in the macrodomain, in the context of the present problem.